On Rational Cuspidal Projective Plane Curves
- J. de Bobadilla, I. Luengo-Velasco, A. Melle-Hern'andez, A. N'emethi
- Mathematics
- 28 October 2004
In 2002, L. Nicolaescu and the fourth author formulated a very general conjecture which relates the geometric genus of a Gorenstein surface singularity with rational homology sphere link with the…
Lattice and Heegaard-Floer homologies of algebraic links
- E. Gorsky, A. N'emethi
- Mathematics
- 31 January 2013
We compute the Heegaard-Floer link homology of algebraic links in terms of the multivariate Hilbert function of the corresponding plane curve singularities. The main result of the paper identifies…
Poincar\'e series associated with surface singularities
- A. N'emethi
- Mathematics
- 4 October 2007
We unify and generalize formulas obtained by Campillo, Delgado and Gusein-Zade in their series of articles. Positive results are established for rational and minimally elliptic singularities. By…
Ehrhart theory of polytopes and Seiberg–Witten invariants of plumbed 3–manifolds
- A. N'emethi, Tam'as L'aszl'o
- Mathematics
- 12 November 2012
Let M be a rational homology sphere plumbed 3‐manifold associated with a connected negative-definite plumbing graph. We show that its Seiberg‐Witten invariants equal certain coefficients of an…
The cohomology of line bundles of splice-quotient singularities
- A. N'emethi
- Mathematics
- 22 October 2008
Generalized Monodromy Conjecture in dimension two
- A. N'emethi, W. Veys
- Mathematics
- 6 December 2011
The aim of the article is an extension of the Monodromy Conjecture of Denef and Loeser in dimension two, incorporating zeta functions with differential forms and targeting all monodromy eigenvalues,…
Immersions associated with holomorphic germs
- A. N'emethi, GergHo Pint'er
- Mathematics
- 10 April 2014
A holomorphic germ \Phi: (C^2, 0) \to (C^3, 0), singular only at the origin, induces at the links level an immersion of S^3 into S^5. The regular homotopy type of such immersions are determined by…
Morse theory for manifolds with boundary
- Maciej Borodzik, A. N'emethi, A. Ranicki
- Mathematics
- 12 July 2012
We develop Morse theory for manifolds with boundary. Besides standard and expected facts like the handle cancellation theorem and the Morse lemma for manifolds with boundary, we prove that, under a…
Topology of algebraic varieties
- F. Elzein, A. N'emethi
- Mathematics
- 1 September 1999
Let Y be a normal crossing divisor in the smooth projective algebraic variety X (defined over ${\mathbb C}$) and let U be a tubular neighbourhood of Y in X. We construct homological cycles generating…
On the monodromy of complex polynomials
- A. Dimca, A. N'emethi
- Mathematics
- 9 December 1999
We show that the monodromy operator at infinity plus the decomposition of the homology given by the vanishing cycles completely determine the homology monodromy representation of any complex…
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